Question
Tap A can fill a tank in 10 hours. Tap B can fill 12.5%
part of the same tank in 5 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 2/5 part of the tank is filled in 8 hours, when all three taps are opened together. How much time (in hours) will Tap A and C together will take to fill 25% part of the tank?Solution
Tap A alone can fill the tank in = 10 hours. Tap B alone can fill the tank in = (8/1) × 5 = 40 hours Tap C alone can empty the tank in = x hours (A + B +C) together can fill the tank in = 8 × (5/2) = 20 Taking LCM of 10, 40 and 20 = 40 Efficiency of Tap A = 4 Efficiency of Tap B = 1 Efficiency of Taps (A + B +C) = 2 Efficiency of Taps (A +C) = 2 – 1 = 1 Tap A and C together take to fill 25% part of the tank in, => (25/100) × (40/1) = 10 hours
The HCF and LCM of two consecutive even number is 2 and 112 respectively. Find the sum of reciprocal of these two numbers?
The LCM and the HCF of the numbers 25 and 40 are in the ratio:
The smallest number which when divided by 22 and 34 leaves remainder 10 and 22 respectively is:
The LCM of two numbers is 180, and the numbers are in the ratio 5:9. What will be the sum of the numbers?
Three boys runs around a circular track and takes 24 min, 40 min and 42 min respectively to complete the one round. When do they all come relatively to ...
The product of two numbers is 4,320 and their highest common factor is 24. Find the least common multiple of these two numbers.
Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to comple...
In a school, 68 boys and 119 girls have been divided into the largest possible equal classes, so that each class of boy numbers the same as each class o...
The H.C.F of two numbers is 2 and their L.C.M is 117. If one of the numbers is 13, find the other?
- The product of two numbers is 1344 and their L.C.M is 168. What is the H.C.F of the two numbers?