Distance and Time Quiz Set 008 | Maths Aptitude Quiz Questions and Mock Test on Distance and Time Set 8 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A city bus has an average speed of 23 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?

$15{15/23}$ mins.

$17{9/22}$ mins.

$13{12/25}$ mins.

$17{4/25}$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 23 - 17 = 6 in one hour. The time taken for that distance would be the wastage due to stopping = $6/23$ × 60 = $15{15/23}$ mins.

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Question 2

An aircraft was on a 1050 km journey. Its engine developed a snag so it had to slow down. It's average speed reduced by 5km/h, as a result of which it reached its destination late by 1 hour. What was the actual duration of the journey?

14 hrs.

15 hrs.

13 hrs.

16 hrs.

Soln.
Ans: a

Let x be the actual duration of the journey. Then, $1050/x - 1050/{x + 1} = 5$. Which gives 1050 × $1/{x (x + 1)} = 5$. Solving for x, or by trying the options one by one, we get x = 14 hours.

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Question 3

A cyclist travels at a speed of 8km/h. Had he travelled at 10km/h he would have covered a distance of 6 km more. What is the total distance travelled by him?

24 km.

25 km.

23 km.

26 km.

Soln.
Ans: a

By the given problem, the time is same for both cases. If the total distance covered by him at 8km/h is x, then, $x/8 = {x + 6}/10$. Solving, we obtain x = 24 km.

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Question 4

Bus X travels 50% faster than bus Y. They start together and meet at the same time after travelling a distance of 30km. What is the speed of the bus X, if the bus Y wasted 5 hours during its journey?

2 kmph.

3 kmph.

5 kmph.

4 kmph.

Soln.
Ans: a

Let the speed of bus X be x, and of Y be 3x/2. The difference in the times taken by them is $30/x - 30/({3x}/2)$ = 5, which becomes 30 × $1/{3x}$ = 5. Solving, we get x = 2 km/h.

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Question 5

Two trains start simultaneously. The first train moves from A to B, whereas the second train moves from B to A. After they meet at a point in between, they respectively take 144 hours and 49 hours to reach their destinations. What is the ratio of their speeds?

${7/12}$.

${19/11}$.

${31/14}$.

${43/14}$.

Soln.
Ans: a

If they take $t_1 and t_2$ hours respectively to reach their destinations, then the ratio of their speeds is $√t_2 : √t_1$. So we get $√49 : √144$, which gives 7 : 12, or ${7/12}$.

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