Distance and Time Quiz Set 013 | Maths Aptitude Quiz Questions and Mock Test on Distance and Time Set 13 | 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 @5 km/h and partly by car @15 km/h. He travelled a total distance 220 km in 20 hours. How much distance did he cover with the camel?

40 km.

41 km.

39 km.

42 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (220 - x) km with the car. Total time is $x/5 + {220 - x}/15 = 20.$ Solving, we get x = 40 km.

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Question 2

An aircraft was on a 440 km journey. Its engine developed a snag so it had to slow down. It's average speed reduced by 4km/h, as a result of which it reached its destination late by 1 hour. What was the actual duration of the journey?

10 hrs.

11 hrs.

9 hrs.

12 hrs.

Soln.
Ans: a

Let x be the actual duration of the journey. Then, $440/x - 440/{x + 1} = 4$. Which gives 440 × $1/{x (x + 1)} = 4$. Solving for x, or by trying the options one by one, we get x = 10 hours.

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Question 3

Two trains start simultaneously. The first train moves from Mumbai to Baroda, whereas the second train moves from Baroda to Mumbai. After they meet at a point in between, they respectively take 16 hours and 4 hours to reach their destinations. What is the ratio of their speeds?

${1/2}$.

${3/2}$.

${5/2}$.

${7/4}$.

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 $√4 : √16$, which gives 2 : 4, or ${1/2}$.

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