Nidhi reached her institute in 3 hours while travelling by bus with a wheel radius of 70 cm and making 250 revolutions in one minute. One day, she left for the institute one hour later than usual time. Then to reach her institute on time, she should increase her speed by ____. [Use ]
Nidhi reached her institute in 3 hours while travelling by bus with a wheel radius of 70 cm and making 250 revolutions in one minute. One day, she left for the institute one hour later than usual time. Then to reach her institute on time, she should increase her speed by ____. [Use ]
Solution
Circumference of the wheel = cm.
Number of revolutions per minute = 250.
Distance covered in one minute = Circumference Revolutions = cm = 1100 m = 1.1 km.
Speed of the bus = Distance per minute 60 minutes/hour = km/hr.
Usual time taken = 3 hours.
Total distance to the institute = Speed Time = km.
One day, she left 1 hour late, so the available time to reach on time = hours.
Required speed to cover 198 km in 2 hours = km/hr.
Increase in speed required = Required speed - Usual speed = km/hr.