Question
The speed of a boat in still water is 20 km/hr. If the
boat covers 80 km in upstream in 8 hours, then find the time taken by the boat to travel 150 km in downstream.Solution
Let the speed of the boat in still water and the speed of the current be ‘x’ km/hr and ‘y’ km/hr, respectively Upstream speed of the boat = (x – y) = 80/8 = 10 km/hr Or, 20 – y = 10 Or, y = 20 – 10 = 10 km/hr Therefore, downstream speed of the boat = 20 + 10 = 30 km/hr Required time taken = 150/30 = 5 hours
- The average age of 15 students in a classroom is 20 years. When two new students, Raj and Simran, join the class, their ages being in the ratio of 7:8, the...
An ODI is played between India and Pakistan. Team India’s average run rate for the first 33 overs was 6.5 runs per over while in the remaining 17 over...
The average age of A and B is 21 years. If A is to be replaced by C, the average would be 20 years. The average age of C and A is 22 years. Find the age...
The average score of a group of 50 students is 90. When the scores of 4 students—X, Y, Z, and W—are excluded, the average of the rest falls by 2. If...
The average run rate of a cricket team during the first 20 over’s is 4.5. What should be the asking rate per over for the next 30 over’s. if it has...
The average of 25 numbers is 36. When a new number is added, the average becomes 37. Later, one of the original 25 numbers, which is 30, is removed from...
The average age of A and B is 22 years. If A is to be replaced by C, the average would be 21 years. The average age of C and A is 23 years. Find the age...
The average weight of a class of 25 student is 60 KG. If X is student joined the class, than the average weight of whole class increases by (2X – 7)...
A man purchases cold-drink for three consecutive years. In the first year, he purchases cold-drink at the rate of ₹ 8.00 per litre, in the second year...
The average weight of 20 men is 60 kg and the average weight of 30 women is 50 kg. Find the average weight of all 50 persons together.