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Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively.The car B reaches the destination 2 hours earlier than A. What is the distance between the starting point and destination?
- a)8 hours 12 minutes
- b)6 hours 15 minutes
- c)7 hours 20 minutes
- d)7 hours 12 minutes
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two cars namely A and B start simultaneously from a certain place at t...
Let the time taken by car A to reach destination is T hours
So, the time taken by car B to reach destination is (T – 2) hours.
S1T1 = S2T2
⇒ 40(T) = 55 (T – 2)
⇒ 40T = 55T -110
⇒ 15T = 110
T = 7 hours 20 minutes
So, the time taken by car B to reach destination is (T – 2) hours.
S1T1 = S2T2
⇒ 40(T) = 55 (T – 2)
⇒ 40T = 55T -110
⇒ 15T = 110
T = 7 hours 20 minutes
Most Upvoted Answer
Two cars namely A and B start simultaneously from a certain place at t...
Let the time taken by car A to reach destination is T hours
So, the time taken by car B to reach destination is (T – 2) hours.
S1T1 = S2T2
⇒ 40(T) = 55 (T – 2)
⇒ 40T = 55T -110
⇒ 15T = 110
T = 7 hours 20 minutes
So, the time taken by car B to reach destination is (T – 2) hours.
S1T1 = S2T2
⇒ 40(T) = 55 (T – 2)
⇒ 40T = 55T -110
⇒ 15T = 110
T = 7 hours 20 minutes
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Community Answer
Two cars namely A and B start simultaneously from a certain place at t...
Given information:
- Speed of car A = 40 kmph
- Speed of car B = 55 kmph
- Car B reaches the destination 2 hours earlier than A
To find:
- Distance between the starting point and destination
Approach:
Let's assume that the distance between the starting point and destination is 'd' km.
We know that,
- Time taken by car A to cover the distance = d/40 hours
- Time taken by car B to cover the distance = d/55 hours
- Car B reaches the destination 2 hours earlier than A
Therefore, (d/40) + 2 = (d/55)
Solving this equation, we get:
d = 440
Now, we know the distance between the starting point and destination is 440 km.
To find the time taken by both cars to reach the destination, we can use the formula:
Time = Distance / Speed
- Time taken by car A = 440/40 = 11 hours
- Time taken by car B = 440/55 = 8 hours
We know that car B reaches the destination 2 hours earlier than A. Therefore, the time taken by car A = 11 + 2 = 13 hours.
Finally, to convert the time into hours and minutes, we can use the following formula:
Minutes = (Time - Integer value of Time) * 60
- Time taken by car A = 13 hours and 12 minutes
- Time taken by car B = 8 hours
Therefore, the correct answer is option 'C' - 7 hours 20 minutes (which is the difference between the time taken by A and B).
- Speed of car A = 40 kmph
- Speed of car B = 55 kmph
- Car B reaches the destination 2 hours earlier than A
To find:
- Distance between the starting point and destination
Approach:
Let's assume that the distance between the starting point and destination is 'd' km.
We know that,
- Time taken by car A to cover the distance = d/40 hours
- Time taken by car B to cover the distance = d/55 hours
- Car B reaches the destination 2 hours earlier than A
Therefore, (d/40) + 2 = (d/55)
Solving this equation, we get:
d = 440
Now, we know the distance between the starting point and destination is 440 km.
To find the time taken by both cars to reach the destination, we can use the formula:
Time = Distance / Speed
- Time taken by car A = 440/40 = 11 hours
- Time taken by car B = 440/55 = 8 hours
We know that car B reaches the destination 2 hours earlier than A. Therefore, the time taken by car A = 11 + 2 = 13 hours.
Finally, to convert the time into hours and minutes, we can use the following formula:
Minutes = (Time - Integer value of Time) * 60
- Time taken by car A = 13 hours and 12 minutes
- Time taken by car B = 8 hours
Therefore, the correct answer is option 'C' - 7 hours 20 minutes (which is the difference between the time taken by A and B).
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Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively.The car B reaches the destination 2 hours earlier than A. What is the distance between the starting point and destination?a)8 hours 12 minutesb)6 hours 15 minutesc)7 hours 20 minutesd)7 hours 12 minutesCorrect answer is option 'C'. Can you explain this answer?
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