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Question 1
A boy walks along the three edges of an equilateral triangle at average speeds of 6 km/h, 2 km/h and 9 km/h. What is the average speed along the whole journey?
$3{6/7}$ kmph.
$5{2/3}$ kmph.
$2{2/9}$ kmph.
$5{1/3}$ kmph.
Ans: a
Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/6 + L/2 + L/9$. So overall average speed = ${3L}/{L/6 + L/2 + L/9}$ which simplifies to ${27/7}$, which is same as: $3{6/7}$ km/h.
Question 2
A cyclist travels at a speed of 5km/h. Had he travelled at 10km/h he would have covered a distance of 15 km more. What is the total distance travelled by him?
Question 3
A city bus has an average speed of 17 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 14 km/h. How many minutes does it stop in 1 hour?
Question 4
Speeds of A and B are in the ratio 7 : 8. What is the ratio of the times that they will take to cover a distance of 100 km?
Question 5
A boy walks along the three edges of an equilateral triangle at average speeds of 5 km/h, 8 km/h and 3 km/h. What is the average speed along the whole journey?
$4{44/79}$ kmph.
$5{49/78}$ kmph.
$3{38/81}$ kmph.
$7{10/27}$ kmph.
Ans: a
Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/5 + L/8 + L/3$. So overall average speed = ${3L}/{L/5 + L/8 + L/3}$ which simplifies to ${360/79}$, which is same as: $4{44/79}$ km/h.
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This Blog Post/Article "Distance and Time Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-06