Directions: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the speed of stream of water? I. A boat covers 30 km moving upstream in 6 hours. II. Same boat covers 30 km moving downstream in 5 hours.

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Directions: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the speed of stream of water? I. A boat covers 30 km moving upstream in 6 hours. II. Same boat covers 30 km moving downstream in 5 hours.

Asked on 2019-06-14 12:01:12 by Guest | Votes 0 | Views: 25 | Tags: data sufficiency | quantitative aptitude | Add Bounty

Directions: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

What is the speed of stream of water?

I. A boat covers 30 km moving upstream in 6 hours.

II. Same boat covers 30 km moving downstream in 5 hours.

1). If the data given in the statement I alone is sufficient to answer the question whereas the data given in statement II alone is not sufficient to answer the question.
2). If the data given in the statement II alone is sufficient to answer the question whereas the data given in statement I alone is not sufficient to answer the question.
3). If the data in either statement I alone or in statement II alone is sufficient to answer the question.
4). If the data in either statement I & II is not sufficient to answer the question.

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1 answers

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Answered by Guest on 2019-06-28 20:29:57 | Votes 0 | #

Let’s check each statement individually-

Statement I-

A boat covers 30 km moving upstream in 6 hours.

Speed of boat = distance /time = 30/6

The speed of boat in upstream is 5 km/hr

Here as we don’t know the speed of boat in still water, so we cannot determine the speed stream of water.

∴ Statement I alone is not sufficient to find required answer.

Statement II-

Same boat covers 30 km moving downstream in 5 hours.

Speed of boat = distance /time = 30/5

The speed of boat in downstream is 6 km/hr

Here as we don’t know the speed of boat in still water, so we cannot determine the speed stream of water.

∴ Statement II alone is not sufficient to find required answer.

By combining information of 2 statements-

Let the speed of boat in still water be x km/hr.

& let the speed of stream of water be y km/hr.

The speed of boat in downstream is 6 km/hr.

∴ Resultant speed will be addition of speed of boat in still water and speed of stream of water.

∴ x + y = 6 km/hr ---- (1)

& The speed of boat in upstream is 5 km/hr.

∴ Resultant speed will be subtraction of speed of boat in still water and speed of stream of water.

∴ x - y = 5 km/hr ---- (2)

By adding result (1) & (2)-

( x + y) + ( x – y) = 6 + 5

∴ 2 x = 11

∴ x = 5.5 km/hr.

∴ Substituting value of x in result 1-

x + y = 6 km/hr

5.5 + y = 6

∴ y = 0.5 km/hr

∴ Both statements are needed to find required answer.

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