Question
The lengths of trains 'P' and 'Q' are 180 metres and 120
metres respectively. Train 'P' crosses a platform 'Y' of 240 metres in 24 seconds. If 'P' and 'Q' cross each other while moving in opposite directions in 12 seconds, then find the time taken by 'Q' to cross the platform 'Y'.Solution
ATQ,
Let the speed of 'P' be 'x' m/sec So, total distance covered by 'P' while crossing the platform = (180 + 240) = 420 metres ATQ, 420 = x Γ 24 So, x = 17.5 m/sec Let the speed of 'Q' be 'y' m/sec Relative speed of 'P' with respect to 'Q' = (x + y) = (17.5 + y) m/sec Total distance = 180 + 120 = 300 metres ATQ, 300 = (17.5 + y) Γ 12 => 17.5 + y = 25 => y = 25 - 17.5 = 7.5 m/sec So, time taken by 'Q' to cross the platform = (120 + 240) Γ· 7.5 = 360 Γ· 7.5 = 48 seconds
Pooja and Meena are partners in a business. Pooja (working) puts in Rs. 6000 and Meena (sleeping) puts in Rs. 4000. Pooja receives 20% of the profit for...
'Akash', 'Bishnu', and 'Chintu' formed a partnership with investments of Rs. 4800, Rs. 3600, and Rs. 6400, respectively, for durations of 8 months, 1 ye...
A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 16,000. If out of a total profit of Rs. 900, A gets Rs. 500 an...
βPβ and βQβ entered into a business with initial investments of Rs. 1000 and Rs. 700 respectively. After 3 months, βPβ withdrew Rs. 300 whil...
If the ratio of time periods of investment of A and B is 2:5, profit at the end of the year is Rs.100000 and Aβs share in it is Rs.20000, then what is...
A and B started a business by investing Rs.300 and Rs.400 respectively. After 6 months, A increased his investment by Rs.800. Find the ratio of annual p...
βRβ invested Rs. 20000 in a business. βSβ joined after βxβ months with an investment of Rs. 4000 less than βRβ. If the ratio of the prof...
"P" and "Q" have income to expenditure ratios of 5:2 and 5:3, respectively. If their combined incomes amount to Rs. 5,500 and "P" manages to save Rs. 1,...
Three persons A, B and C invested different amounts in a business, which are in A.P. The amount invested by B is Rs. 2000 more than that of A. C investe...
A, B and C invest in a partnership in the ratio 7:5:9 and investment of A is Rs.200 less than investment of C. Partner B invests for 1/5th and A and C i...