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Excluding stoppages, the speed of a bus is 152 km/hr. and including stoppages, it is 114 km/hr. For how many minutes does the bus stop per hour?
Question

Excluding stoppages, the speed of a bus is 152 km/hr. and including stoppages, it is 114 km/hr. For how many minutes does the bus stop per hour?

A.

15 minutes

B.

9 minutes

C.

14 minutes

D.

10 minutes

Correct option is A

Given:

Speed of the bus excluding stoppages = 152 km/hr.

Speed of the bus including stoppages = 114 km/hr.

Formula Used:

Speed loss due to stoppages = Speed excluding stoppages - Speed including stoppages

Time lost = Speed lossSpeed excluding stoppages×60 \frac{\text{Speed loss}}{\text{Speed excluding stoppages}} \times 60 Minutes​

Time lost = Speed excluding stoppagesSpeed including stoppagesSpeed excluding stoppages×60\frac{\text{Speed excluding stoppages} - \text{Speed including stoppages}}{\text{Speed excluding stoppages}} \times 60 Minutes​

Solution:

Speed loss = 152 km/hr114 km/hr=38 km/hr152 \, \text{km/hr} - 114 \, \text{km/hr} = 38 \, \text{km/hr}​​

Time lost = 38152×60=14×60=15 minutes\frac{38}{152} \times 60 = \frac{1}{4} \times 60 = 15 \, \text{minutes}​​

Thus, the correct option is (a) 15 minutes

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