wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A bus covers 10 miles at an average speed of 60 mi/h. If it covers the first 3 miles at 60 mi/h and the next 5 miles at 50 mi/h, at what speed does it cover the remaining 2 miles?


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

The correct option is D 120 mi/h
Examining each stretch of the journey, we find:

Stretch A:Distance=3 miles; Speed=60 mi/h

Time taken to cover stretch A=DistanceSpeed=360=120 hours

Stretch B:Distance=5 miles; Speed=50 mi/h

Time taken to cover stretch A=DistanceSpeed=550=110 hours

Stretch C:Distance=2 miles; Speed=S mi/h

Time taken to cover stretch A=DistanceSpeed=2S hours

Average speed=Total distanceTotal time

60 mi/h=10 miles120+110+2S

Multiplying both sides of the equation by the denominator, we get:

6020 mi+6010 mi+120S mi=10 mi

3+6+120S=10

120S=109=1

S=120 mi/h

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