Question
The ratio between the speeds of train J and K is 7:5
respectively. Train J which is (a+140) metre long can cross a pole in 24 seconds. If train K can cross a man in 28 seconds, then find out the difference between the speeds of both trains. It is assumed that both of the trains cross each other in (77/3) seconds.Solution
The ratio between the speeds of train J and K is 7:5 respectively. Let’s assume the speed of train J and K is 7y and 5y respectively. Train J which is (a+140) metre long can cross a pole in 24 seconds. (a+140)/24 = 7y (a+140) = 168y  Eq.(i) If train K can cross a man in 28 seconds. Let’s assume the length of train K is ‘k’. k/5y = 28 k = 140y  Eq.(ii) It is assumed that both of the trains cross each other in (77/3) seconds. [(a+140)+k]/(7y+5y) = (77/3) [(a+140)+k]/(12y) = (77/3) Put Eq.(i) and Eq.(ii) in the above equation. [168y+140y]/(12y) = (77/3) (308y)/(12y) = (77/3) (77/3) = (77/3) We cannot obtain anything from the given information in the question. So the answer cannot be determined.
A is five times as efficient as B and can finish a piece of work in 24 days less than B. B can finish this work in how many days?
Efficiency of 'D' is 80% more than that of 'E' and 25% less than that of 'F'. They start working together, but 'E' leaves after 3 days, and the remainin...
‘A’ and ‘B’ can do a piece of work in 10 days and 20 days, respectively. They started working together but ‘A’ left after 3 days. Find the t...
P alone can finish a piece of work ‘M’ in 8 days while Q takes 4 days to finish it alone. P, Q and R working together can finish the work ‘N’ wh...
A, B and C alone can complete a work in 30, 60 and 45 days respectively. All of them started working together but after 3 days from start A left the job...
Anil and Ashish receive Rs.2200 for work of 8 days. If Anil is 4 times efficient than Ashish, then find the daily wage received by Ashish.
Vikram alone can finish some work in 20 days. Vikram and Varun completed the work together and earned Rs. 8,000 as wage. If Varun's wage share is Rs. 3,...
- Arun and Varun take up an assignment together. Arun finishes 3 units per day, while Varun can complete the entire assignment in 12 days. The total work amo...
A and B together can complete a work in 15 days, while B and C together can complete the same work in 20 days. If A, B, and C together can complete the ...
- Rahul does half the work done by Karan in 2/3 of the time. If they together can complete the work in 14 days, how much time will Karan take to complete the...