Question
A car travels at 60 km/h to reach
its destination on time. If it travels at 65 km/h, it will reach the destination 30 minutes earlier. Find the time taken by the car to travel twice the distance at 70 km/h.Solution
ATQ, Let the usual time taken by the car be 'T' hours. Using, distance = speed × time We have, 'D' = 60T ----------- (I) And, 'D' = 65 × {T - (30/60)} -------- (II) From equation (I) and (II), We have, 60T = 65 × {T - (30/60)} Or, 60T = 65T - 65 × (30/60) Or, 5T = 32.5 Or, 'T' = 6.5 On putting the value of 'T' = 6.5 in equation (I), We have 'D' = 60 × 6.5 = 390 km So, the required time = (2 × 390) ÷ 70 = (780/70) = 11.14 hours
A boat can go 3 km upstream and 5 km downstream in 55 minutes. It can also go 4 km upstream and 9 km downstream in 1 hour 25 minutes. In how much time (...
A sedan clocks 324 km in 4 hours. The motorbike is 5.5 m/s slower than the sedan. Compute the distance (in metres) the bike covers in 1 minute 40 seconds.
Priya travels from station ‘M’ to station ‘N’. If she moves at 45 km/h, she reaches 30 minutes early. If she moves at 30 km/h, she reaches 1 hou...
A worker is paid ₹500 for 8 hours of work. If he works for 6 hours overtime at 1.5 times his regular hourly rate, what will be his total pay for 14 ho...
A cheetah can catch a deer running with a speed of 54 km/h and is 63 meters ahead of it, in 12 seconds. Find the time taken by the cheetah to catch a ze...
A and B are travelling towards each other with a speed of 20 km/hr and 30 km/hr. If they started at same time and A covered 18 km less distance than B b...
A train travels a certain route in 250 minutes at a speed of 48 km/h. If the same journey is done by bus in 5 hours, what should be the speed of the bus?
A person travels at the speeds of 18kmph, 24kmph, and 12kmph on the surface of an equilateral triangle and the ground. Find the average speed of the ent...
Buses A and B are moving around a circular ground of radius 350 m. If the speeds of the buses A and B are 15 m/sec and 20 m/sec respectively, then what ...
Before servicing, a car runs at a speed of 35 km/hr while after servicing, it runs at a speed of 70 km/h. After servicing the car covers a certain dista...
