A traveler accounts 30% of his route stretch at 15 km/h and the left over 70% at 35 km/h. Find his baseline average speed across the course. MCQ with Answer and Explanation
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Question #1
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A stream flows at 3 km/h. A boat can row 9 km/h in still water. How much time does it take to go 24 km downstream and return upstream to the starting point?
Correct Answer: Option C
Explanation:
Downstream speed = 9 + 3 = 12 km/h. Upstream speed = 9 - 3 = 6 km/h. Time taken = 24/12 + 24/6 = 2 + 4 = 6 hours.
Downstream speed = 9 + 3 = 12 km/h. Upstream speed = 9 - 3 = 6 km/h. Time taken = 24/12 + 24/6 = 2 + 4 = 6 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed of a train is 20% more than the speed of a car. Both start from point A at the same time and reach point B, 120 km away, at the same time. On the way, however, the train lost about 10 minutes while stopping at the stations. What is the speed of the car?
Correct Answer: Option B
Explanation:
Let car speed be c, then train speed is 1.2c. Time difference = 120/c - 120/(1.2c) = 10/60 hour. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.
Let car speed be c, then train speed is 1.2c. Time difference = 120/c - 120/(1.2c) = 10/60 hour. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.
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Maths
Time Speed and Distance
Question #3
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A man covers 1/3 of his total journey at 30 km/h and the remaining 2/3 at 60 km/h. Find his average speed for the entire journey.
Correct Answer: Option D
Explanation:
Let total distance be 90 km. First part = 30 km; Time = 30 / 30 = 1 hour. Remaining part = 60 km; Time = 60 / 60 = 1 hour. Total distance = 90 km, Total time = 2 hours. Average speed = 90 / 2 = 45 km/h.
Let total distance be 90 km. First part = 30 km; Time = 30 / 30 = 1 hour. Remaining part = 60 km; Time = 60 / 60 = 1 hour. Total distance = 90 km, Total time = 2 hours. Average speed = 90 / 2 = 45 km/h.
This question belongs to:
Maths
Time Speed and Distance
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