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A car can cover 275 km in 5 hours. If its speed is reduced by 5 km/hr, then how much time will the car take to cover a distance of 250 km?
Question

A car can cover 275 km in 5 hours. If its speed is reduced by 5 km/hr, then how much time will the car take to cover a distance of 250 km?

A.

4 hr 30 min

B.

6 hr

C.

5 hr 30 min

D.

5 hr

Correct option is D

Given:​

Distance  = 275 km

Time = 5 hours

time taken to cover 250 km when its speed is reduced by 5 km/h = ?

Formula Used:

The formula to calculate speed is:

Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}} ​

Solution:

​Substitute the given values: Distance = 275 and time = 5 hours 

Speed=275 km5 hours=55 km/h\text{Speed} = \frac{275 \, \text{km}}{5 \, \text{hours}} = 55 \, \text{km/h} 

The car’s speed is reduced by 5 km/h, so the new speed is: 

New Speed=55km/h5km/h=50km/hNew Speed=55km/h−5km/h=50km/h 

the time taken to cover 250 km at the reduced speed

So,

Time=250 km50 km/h=5 hours\text{Time} = \frac{250 \, \text{km}}{50 \, \text{km/h}} = 5 \, \text{hours} 

Thus, the car will take 5 hours to cover 250 km when its speed is reduced by 5 km/h.​

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