Question
Suniti goes to gym at a speed of 3 km/hr and returns
back at a speed of 5 km/hr. If she takes 8 hrs in all. Find the distance between her home and gym.Solution
Let the distance between her home and gym be D. According to the question, D/3 + D/5 = 8 5D + 3D = 8 × 15 8D = 8 × 15 D = 15 km Alternate method: The LCM of 3 and 5 = 15, so distance is 15 km. T = 15/3 = 5 hrs T = 15/5 = 3 hrs Total time = 5 + 3 = 8 hrs. 8 hrs = 15 km 1 hrs = 15 x 8 km 15 hrs = 15 × 8 /15 = 15 km.
A sum of money is divided among P, Q, R and S in the ratio of 1:2:6:7 respectively. If the share of R's is Rs. 2860 more than the share of Q, then what ...
The ratio of the number of girls to the number of boys in a school of 720 students is 3 : 5. If 18 boys left the school, find how many new girls ...
Find the third proportion of √ 2, √ 7 and √ 21.
The ratio of the salaries of Amit, Raj, and Dev is 5:6:7 respectively. Sumit’s salary is 10 rupees less than Amit’s. If the difference between Dev ...
There is a mixture of 63 liters of apple juice and water in a vessel. The ratio of apple juice to water is 3:4. If 14 liters of the mixture is taken out...
If the third proportion of 45 and 60 is “0.5k”, then find the value of (k − 20) : (k + 40).
P, Q and R together started a business. Three times the investment of P equals five times the investment of Q and the capital of Q is twice that of R. F...
What is the fourth proportional to 10¹⁵, 2⁶ and 5⁶?
Two numbers are in the ratio of 6:13. If three is added to both numbers, the ratio becomes 1:2. Find the smaller number.
- If A: B = 4: 5 and B: C = 3: 7, then what is the value of (3A + 8C)/(6B - 2C)?
