Question
Average weight of all the people in a group is 55 kg.
When two people of weight 63 kg and 77 kg left the group, average weight reduces by 1.5 kg. Find the number of people in the group now.Solution
Let the number of people initially be 'n'.
So, 55n - 53.5 × (n - 2) = 63 + 77
Or, 55n - 53.5n + 107 = 140
Or, 1.5n = 33
Or, 'n' = 22
Required number of people = 22 - 2 = 20
A motor-cycle covers 125 km with a speed of 60 km/hr. find the speed of the motor-cycle for the next 125 km journey so that the average speed of the who...
A train is travelling at the rate of 54 km/hr. How many seconds it will take to cover a distance of 3/5 km?
A person travels from the hostel to the college at a speed of 10 kmph on the bicycle and reaches a 4.5-minute delay. If he runs a bike with a speed of 2...
Amrita traveled a certain distance, covering 50% of it at a speed of 15 km/h, then 40% of the remaining distance at 7.5 km/h, and the rest at 9 km/h. If...
If a bicycle can cover 65 km in 10 hours while a car can cover 90 km in 5 hours then find the average speed of car.
A man covered a distance of 240 km in 4 hours on a bike. How much distance will he cover on a bicycle in 8 hours if he rides the bicycle at one-tenth th...
A bike travels the same distance in 'h + 2.5' hours compared to a truck's 'h' hours from point 'P' to point 'Q'. Should the trip be completed in half by...
The speed of a bike increases by 5 km/hr after every 1 hour. If the distance travelled by the bike in 1st hour is 10 km, the find the total distance tra...
- The speeds of Pooja and Neha are in the ratio 7:5 respectively. Seema covers a distance of 720 km in 12 hours. If Neha's speed is 25% less than Seema’s s...
- A person completes a journey in 300 minutes by train at a speed of 60 km/h. What should be his speed by bus to cover the same distance in 7 hours?