a car a is travelling on a straight level road with a speed of 54km/hr it is followed by another car b which is moving with a speed of 72 km/h. when the distance between them is 5km the car driver of car b accelerates his car at the rate of 40 km/h.what distance and time will car B just catch up with car a
Answers
Answer:
car b will catch up the car a at the distance of 7.4 km in 3.9 minutes.
Explanation:
the difference between the speed of both the cars are 18 km/ hr and 5km in terms of distance.
car b accelerate by 40km/hr
the speed of car b = 72+40 =112km/hr
to catch up car a , car b has to cover up the distance of 5 km
time = distance / speed
time = 5000 m / 31 m/s
time = 161 seconds = 2.6 minutes
now,
car a is also travelling at 54km/hr
so, car a will travel
distance = speed x time
distance = 15m/s x 161 s
distance = 2415m = 2.4 km
now.
to catch up car a , car b has to cover up the distance of 5+2.4=7.4 km
time = distance / speed
time = 7400 m / 31m/s
time = 239 seconds = 3.9 minutes
therefore, car b will catch up the car a at the distance of 7.4 km in 3.9 minutes.