A sound wave tracking along a canyon paths at 340 m/s. Find the total distance wrapped by the sound wave in exactly 25 seconds. MCQ with Answer and Explanation
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Question #1
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A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns.
Correct Answer: Option B
Explanation:
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
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Maths
Time Speed and Distance
Question #2
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A boatman can row 12 km/h in still water. If the river velocity index tracks at 2 km/h, find the time parameter required by the boat hull to row 40 km upstream.
Correct Answer: Option D
Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man rows upstream 10 km and downstream 22 km, taking 3 hours each way. Find the speed of the current.
Correct Answer: Option B
Explanation:
Upstream speed = 10 / 3 = 3.33 km/h. Downstream speed = 22 / 3 = 7.33 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (7.33 - 3.33) / 2 = 4 / 2 = 2 km/h.
Upstream speed = 10 / 3 = 3.33 km/h. Downstream speed = 22 / 3 = 7.33 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (7.33 - 3.33) / 2 = 4 / 2 = 2 km/h.
This question belongs to:
Maths
Time Speed and Distance
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