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Q.

The time taken to travel 14 km by a loaded truck is 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

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a

167 km

b

168 km

c

166 km

d

169 km

answer is B.

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Detailed Solution

Given that,
It is given that the distance covered by a truck in 25 minutes is 14 km.
Here, we have to find the distance covered in 5 hours if the speed remains the same.
We know that if two quantities

x

and

y

vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e.

x y = k,

where k is a constant positive number.
We know that 1 hour = 60 min.
So, 5 hours = 5 × 60 = 300 minutes.
So, we can arrange a table as given below:

Distance(km)	$x 1 = 14$	$x 2 =$ ?
Time in minutes	$y 1 = 25$	$y 2 = 300$

Using the relation of direct proportion

x 1 y 1 = x 2 y 2

, we get,

x 1 y 1 = x 2 y 2

⇒ x 2 = x 1 y 2 y 1

⇒ x 2 = 14 × 300 25

∴ x 2 = 168

Thus, the distance covered in 5 hours is 168 m.
Hence, option 2 is correct.

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