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# Quant Quiz 28 November: Caselet DI

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Question 1

Day 1: A person covers 300 km along the stream and 180 km against the stream. The difference between the time taken to cover upstream and downstream distance is 4 hours.

Day 2: Person covers 50 km more than the previous day along the stream and distance covered against the stream is 20 km more than the distance covered by the same person in day 1 against the stream. Time taken to cover the downstream distance is 3 hours less than the upstream distance.

Day 3: Distance covered against the stream is 100 km less than the distance covered along the stream which is equal to the distance covered by the person on day 2 along the stream. He takes 7.5 hours more to cover upstream than the downstream distance.

Day 4: Total time taken to cover 320 km along the stream and 270 km against the stream is the same as the total time taken by the same person on day 3.

The speed of stream on days 1, 2, 3 and 4 is 20 kmph, 15 kmph, 25 kmph, and 30 kmph respectively.

Find the ratio of speed of boat in still water on day 1 to the speed of boat in still water on day 3.

Question 2

Day 1: A person covers 300 km along the stream and 180 km against the stream. The difference between the time taken to cover upstream and downstream distance is 4 hours.

Day 2: Person covers 50 km more than the previous day along the stream and distance covered against the stream is 20 km more than the distance covered by the same person in day 1 against the stream. Time taken to cover the downstream distance is 3 hours less than the upstream distance.

Day 3: Distance covered against the stream is 100 km less than the distance covered along the stream which is equal to the distance covered by the person on day 2 along the stream. He takes 7.5 hours more to cover upstream than the downstream distance.

Day 4: Total time taken to cover 320 km along the stream and 270 km against the stream is the same as the total time taken by the same person on day 3.

The speed of stream on days 1, 2, 3 and 4 is 20 kmph, 15 kmph, 25 kmph, and 30 kmph respectively.

Find the time taken by boat to cover to cover 325 km in still water with the speed same as the speed of boat in still water on day 4?

Question 3

Day 1: A person covers 300 km along the stream and 180 km against the stream. The difference between the time taken to cover upstream and downstream distance is 4 hours.

Day 2: Person covers 50 km more than the previous day along the stream and distance covered against the stream is 20 km more than the distance covered by the same person in day 1 against the stream. Time taken to cover the downstream distance is 3 hours less than the upstream distance.

Day 3: Distance covered against the stream is 100 km less than the distance covered along the stream which is equal to the distance covered by the person on day 2 along the stream. He takes 7.5 hours more to cover upstream than the downstream distance.

Day 4: Total time taken to cover 320 km along the stream and 270 km against the stream is the same as the total time taken by the same person on day 3.

The speed of stream on days 1, 2, 3 and 4 is 20 kmph, 15 kmph, 25 kmph, and 30 kmph respectively.

What is the ratio of the distance covered on day 2 and days 4 together against the stream and the distance covered on day 1 and day 3 together along the stream?

Question 4

Day 1: A person covers 300 km along the stream and 180 km against the stream. The difference between the time taken to cover upstream and downstream distance is 4 hours.

Day 2: Person covers 50 km more than the previous day along the stream and distance covered against the stream is 20 km more than the distance covered by the same person in day 1 against the stream. Time taken to cover the downstream distance is 3 hours less than the upstream distance.

Day 3: Distance covered against the stream is 100 km less than the distance covered along the stream which is equal to the distance covered by the person on day 2 along the stream. He takes 7.5 hours more to cover upstream than the downstream distance.

Day 4: Total time taken to cover 320 km along the stream and 270 km against the stream is the same as the total time taken by the same person on day 3.

The speed of stream on days 1, 2, 3 and 4 is 20 kmph, 15 kmph, 25 kmph, and 30 kmph respectively.

If he covers 280 km along the stream and 120 km against the stream on day 5 and the speed of stream and speed of boat in still water is same as on day 3, then find the total time taken to cover the whole distance?

Question 5

Day 1: A person covers 300 km along the stream and 180 km against the stream. The difference between the time taken to cover upstream and downstream distance is 4 hours.

Day 2: Person covers 50 km more than the previous day along the stream and distance covered against the stream is 20 km more than the distance covered by the same person in day 1 against the stream. Time taken to cover the downstream distance is 3 hours less than the upstream distance.

Day 3: Distance covered against the stream is 100 km less than the distance covered along the stream which is equal to the distance covered by the person on day 2 along the stream. He takes 7.5 hours more to cover upstream than the downstream distance.

Day 4: Total time taken to cover 320 km along the stream and 270 km against the stream is the same as the total time taken by the same person on day 3.

The speed of stream on days 1, 2, 3 and 4 is 20 kmph, 15 kmph, 25 kmph, and 30 kmph respectively.

Find the average of speeds of boat in still water on day 1, day 2 and day 3.
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