If a bus increase its usual speed by 7 km/hr, then it can travel distance AB in one hour less then the usual time. If the bus decreases its usual speed by 5 km/hr, then it can travel distance AB in 2 hours more than the usual time. What is the distance AB?
If a bus increase its usual speed by 7 km/hr, then it can travel distance AB in one hour less then the usual time. If the bus decreases its usual speed by 5 km/hr, then it can travel distance AB in 2 hours more than the usual time. What is the distance AB?
Option 1 -
25 kms
Option 2 -
31 kms
Option 3 -
38 kms
Option 4 -
42 kms
Asked by Shiksha User
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1 Answer
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Correct Option - 2
Detailed Solution:Let Ab = X km and speed of bus be Y km/hr and time be T hrs original equation becomes
By increasing speed by 7 km/hr equation becomes
By decreasing speed by 5 km/hr equation becomes
On solving equation 1, 2 & 3 we get the value of y as and
and
AB = X =
≈ 31 km
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