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Question

Mathematics Question on Time Speed and Distance

Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?

A

12

B

10

C

9

D

20

Answer

10

Explanation

Solution

Time taken including stoppages be t and without stoppages be x.
d = 54×x54 \times x
d = 45×t45\times t
\Rightarrow \;$$54x = 45t
\Rightarrow \;$$\frac{x}{t} = \frac{5}{6}
Let tt be 1 hr = 60 minutes,
x = 50 minutes (from above equation)
So, stoppage per hour = 10 minutes.

The correct option is (B): 10