wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

Joe enters a race where he has to cycle and run, he cycles a distance of 25 Km, and then runs for 20 Km. His average running speed is half of his average cycling speed.
Joe completes the race in less than 2.5 hrs, then the average speed of Joe throughout the race is

A
<26 Km/h
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
>20 Km/h
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
>22 Km/h
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
>26 Km/h
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D >26 Km/h
Let average running speed =x Km/h
So, average cyling speed =2x Km/h

Case 1: Cycling
Distance =25 Km
Average speed =2x Km/h
So, time =252x...(1)

Case 2: Running
Distance =20 Km
Average speed =x Km/h
So, time =20x...(1)
As, Joe complete the race in less than 2.5 hrs
So, from (1) and (2)
252x+20x<2.5
25+40<5x
x>13
So, his average speed cycling is greater than 26 Km/h

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon