A car covers a certain distance at 45 km/h. If it increases its speed to 60 km/h, it arrives 30 minutes earlier. Find the total distance. MCQ with Answer and Explanation
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Question #1
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A crew row a boat 24 km upstream and 36 km downstream, taking 4 hours for each separate direction. Find the speed of the current stream.
Correct Answer: Option A
Explanation:
Upstream speed = 24 / 4 = 6 km/h. Downstream speed = 36 / 4 = 9 km/h. Current speed = (Downstream speed - Upstream speed) / 2 = (9 - 6) / 2 = 1.5 km/h.
Upstream speed = 24 / 4 = 6 km/h. Downstream speed = 36 / 4 = 9 km/h. Current speed = (Downstream speed - Upstream speed) / 2 = (9 - 6) / 2 = 1.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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Walking at 6/7 of his usual speed, a man reaches his destination 10 minutes late. What is his usual time to reach the destination?
Correct Answer: Option D
Explanation:
New speed = 6/7 of usual speed => New time = 7/6 of usual time. Difference = 1/6 of usual time = 10 minutes. Usual time = 10 * 6 = 60 minutes.
New speed = 6/7 of usual speed => New time = 7/6 of usual time. Difference = 1/6 of usual time = 10 minutes. Usual time = 10 * 6 = 60 minutes.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A person walks from his home to his shop at a speed of 5 km/h and arrives 6 minutes early. If he walks at 4 km/h, he arrives 6 minutes late. Find the distance between his home and shop.
Correct Answer: Option D
Explanation:
Time difference = 6 - (-6) = 12 minutes = 12/60 = 1/5 hour. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
Time difference = 6 - (-6) = 12 minutes = 12/60 = 1/5 hour. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
This question belongs to:
Maths
Time Speed and Distance
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