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A train covers a distance of 450 km in 9 hours. If the speed is increased by 10 km/hr, how much time will it take to cover the same distance?
7.5 hours
8 hours
6.5 hours
7 hours
7.5 hours
Find original speed first, add 10 km/hr to get the new speed, then divide the total distance by the new speed to get the time directly.
Distance = 450 km, Initial time = 9 hours, Increased speed = Original speed + 10 km/hr
Speed=TimeDistanceтАЛ
Find original speed first, add 10 km/hr to get the new speed, then divide the total distance by the new speed to get the time directly.
Students often forget to add the 10 km/hr to the original speed and instead try to add or subtract it from the time or distance.
Calculate Original Speed
Using the speed formula, divide the total distance by the initial time to find the original speed.
Original┬аSpeed=9┬аhours450┬аkmтАЛ=50┬аkm/hr
Determine New Speed
Increase the original speed by 10 km/hr as stated in the question.
New┬аSpeed=50+10=60┬аkm/hr
Calculate New Time
Divide the same distance (450 km) by the new speed (60 km/hr) to find the required time.
New┬аTime=60450тАЛ=7.5┬аhours
A is correct because the new speed of 60 km/hr takes 7.5 hours to cover the 450 km distance.
Similar relative speed and time-distance concepts frequently appear in railway and boat-stream problems in CBT exams.
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