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A person covers a distance of 120 km in 3 hours. If he increases his speed by 20 km/hr, how much time will he take to cover the same distance?
2 ┬аhours
2.5 ┬аhours
1.5 ┬аhours
1.8 ┬аhours
2 ┬аhours
Calculate initial speed (120/3=40 km/hr), add 20 to get 60 km/hr, then divide the total distance by the new speed (120/60=2).
Distance d = 120 km, initial time t1 = 3 hours. New speed is original speed increased by 20 km/hr.
Speed=TimeDistanceтАЛ, Time=SpeedDistanceтАЛ
Calculate initial speed (120/3=40 km/hr), add 20 to get 60 km/hr, then divide the total distance by the new speed (120/60=2).
Many students mistake the 'increased by' wording and calculate the new time using 20 km/hr instead of the new speed of 60 km/hr.
Calculate initial speed
Using the formula Speed=Distance/Time, find the original speed of the person.
S1тАЛ=3120тАЛ=40┬аkm/hr
Determine new speed
The person increases their speed by 20 km/hr, so the new speed S2тАЛ is 40+20.
S2тАЛ=40+20=60┬аkm/hr
Calculate new time
Use the formula Time=Distance/Speed with the new speed to find the time taken.
T2тАЛ=60120тАЛ=2┬аhours
A is correct because the new speed is 60 km/hr, which covers 120 km in exactly 2 hours.
This concept of relative speed is fundamental for solving problems involving trains, boats, and streams in RRB exams.
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