Distance and Time Quiz Set 004 | Maths Aptitude Quiz Questions and Mock Test on Distance and Time Set 4 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A traveler travelled partly by camel @4 km/h and partly by car @14 km/h. He travelled a total distance 260 km in 20 hours. How much distance did he cover with the camel?

8 km.

9 km.

7 km.

10 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (260 - x) km with the car. Total time is $x/4 + {260 - x}/14 = 20.$ Solving, we get x = 8 km.

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Question 2

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 37km/h is 17sec, whereas the time it takes to cross the other man running at 44km/h is 18sec. What is the speed of the train?

163km/h.

164km/h.

162km/h.

165km/h.

Soln.
Ans: a

Let the speed of the train be v km/h. Length of the train calculated with the data for the first man = $(v - 37) × 17$. It should equal the length obtained from the data for the second man. So $(v - 37) × 17$ = $(v - 44) × 18$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 163km/h.

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Question 3

A traveler travelled partly by camel @3 km/h and partly by car @13 km/h. He travelled a total distance 200 km in 20 hours. How much distance did he cover with the camel?

18 km.

19 km.

17 km.

20 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (200 - x) km with the car. Total time is $x/3 + {200 - x}/13 = 20.$ Solving, we get x = 18 km.

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Question 4

A city bus has an average speed of 25 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 17 km/h. How many minutes does it stop in 1 hour?

$19{1/5}$ mins.

$25{1/4}$ mins.

13 mins.

$15{6/7}$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 25 - 17 = 8 in one hour. The time taken for that distance would be the wastage due to stopping = $8/25$ × 60 = $19{1/5}$ mins.

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Question 5

Two cars A and B begin to move towards each other and meet midway after travelling equal distance. What is the initial distance between them if the speeds of A and B are 4 km/h and 8 km/h, and B started 1 hour late?

16 km.

17 km.

15 km.

$6{1/3}$ km.

Soln.
Ans: a

If the distance between them is L, they meet after travelling L/2. Equating the times they travelled, $L/{2 × 4} = L/{2 × 8} + 1$. Solving for L we get L = 16 km.

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