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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?
4 hr 30 min
6 hr
5 hr 30 min
5 hr
5 hr
Calculate original speed as 275/5=55 km/hr, subtract 5 to get new speed (50 km/hr), then find time for 250 km as 250/50=5 hours.
Distance = 275 km, Time = 5 hours, New distance = 250 km, Speed reduction = 5 km/hr
Speed=TimeDistance
Calculate original speed as 275/5=55 km/hr, subtract 5 to get new speed (50 km/hr), then find time for 250 km as 250/50=5 hours.
Confusing the distance to be covered with the original distance (forgetting that the final question asks for the time to cover 250 km instead of 275 km).
Calculate the original speed of the car
Using the formula for speed, Speed=TimeDistance, substitute Distance = 275 km and Time = 5 hours to find the initial speed.
Speed=5275=55 km/hr
Determine the reduced speed
The problem states that the speed is reduced by 5 km/hr. Subtract 5 km/hr from the original speed.
New Speed=55−5=50 km/hr
Calculate the time taken to cover 250 km
Using the new speed of 50 km/hr and the new distance of 250 km, find the required time using Time=SpeedDistance.
Time=50250=5 hours
D is correct because the car's original speed is 55 km/hr, which when reduced by 5 km/hr becomes 50 km/hr, and covering 250 km at 50 km/hr takes exactly 5 hours.
Similar relative speed and time-distance scaling problems frequently appear in railway and transportation aptitude tests.
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