Discussion of Question with ID = 094 under Distance-and-Time

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Question

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?

A

14 hrs.

B

15 hrs.

C

13 hrs.

D

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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