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Two bikers A and B started for a race of 120 km with a constant speed of 30 kmph and 40 kmph respectively. After 2 hours A raised his speed and both reached the finish line at same time What was the speed of A after 2 hours of starting the race ?
- a)60 kmph
- b)50 kmph
- c)40 kmph
- d)80 kmph
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two bikers A and B started for a race of 120 km with a constant speed ...
Let A's new speed be x kmph after 2 hours. Total time taken by B = 120/ 40 = 3 hours.
Total distance travelled by A in 2 hours = 30 x 2 = 60 kms
So,
A should travel 60 kms in the last one hour. He can do that if he travels at 60 kmph.
Most Upvoted Answer
Two bikers A and B started for a race of 120 km with a constant speed ...
Understanding the Problem
To solve the problem, we first need to understand the initial conditions and the changes in speed. Biker A starts with a speed of 30 kmph, while Biker B starts at 40 kmph. The total distance of the race is 120 km.
Distance Covered by Biker A in 2 Hours
- Biker A travels for 2 hours at 30 kmph:
- Distance = Speed × Time = 30 kmph × 2 hours = 60 km.
- After 2 hours, the remaining distance for A:
- Remaining distance = 120 km - 60 km = 60 km.
Time Taken by Biker B
- Biker B travels at 40 kmph for the entire race:
- Time taken by B = Total Distance / Speed = 120 km / 40 kmph = 3 hours.
Time Left for Biker A
- Since Biker B finishes in 3 hours, and Biker A has already traveled for 2 hours, the time left for A to complete the remaining distance is:
- Time left for A = Total time - Time traveled = 3 hours - 2 hours = 1 hour.
Calculating the New Speed of Biker A
- Now, Biker A has to cover the remaining 60 km in 1 hour:
- Required speed = Remaining Distance / Time = 60 km / 1 hour = 60 kmph.
Conclusion
Thus, after 2 hours, Biker A must increase his speed to 60 kmph to finish the race at the same time as Biker B. Hence, the correct answer is option 'A' - 60 kmph.
To solve the problem, we first need to understand the initial conditions and the changes in speed. Biker A starts with a speed of 30 kmph, while Biker B starts at 40 kmph. The total distance of the race is 120 km.
Distance Covered by Biker A in 2 Hours
- Biker A travels for 2 hours at 30 kmph:
- Distance = Speed × Time = 30 kmph × 2 hours = 60 km.
- After 2 hours, the remaining distance for A:
- Remaining distance = 120 km - 60 km = 60 km.
Time Taken by Biker B
- Biker B travels at 40 kmph for the entire race:
- Time taken by B = Total Distance / Speed = 120 km / 40 kmph = 3 hours.
Time Left for Biker A
- Since Biker B finishes in 3 hours, and Biker A has already traveled for 2 hours, the time left for A to complete the remaining distance is:
- Time left for A = Total time - Time traveled = 3 hours - 2 hours = 1 hour.
Calculating the New Speed of Biker A
- Now, Biker A has to cover the remaining 60 km in 1 hour:
- Required speed = Remaining Distance / Time = 60 km / 1 hour = 60 kmph.
Conclusion
Thus, after 2 hours, Biker A must increase his speed to 60 kmph to finish the race at the same time as Biker B. Hence, the correct answer is option 'A' - 60 kmph.
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Two bikers A and B started for a race of 120 km with a constant speed of 30 kmph and 40 kmph respectively. After 2 hours A raised his speed and both reached the finish line at same time What was the speed of A after 2 hours of starting the race ?a)60 kmphb)50 kmphc)40 kmphd)80 kmphCorrect answer is option 'A'. Can you explain this answer?
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