Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?

Raman took a loan of Rs. 15000 from Laxman. He was agreed that for the first three years rate of interest charged would be at 8% Simple Interest per annum and at 10% Compound Interest (compounded, annually) from the fourth year onwards. Ram did not pay anything until the end of the fifth year. How much would he repay if he clears the entire amount, only at the end of fifth year? (inRs.)

A and B working together, can do a piece of work in $$ {4{1\over 2}}$$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $$ {2{1\over 4}}$$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

At what time between 5.30 and 6 will the hands of a clock be at right angles?

At what approximate time between 4 and 5 am will the hands of a clock be at right angle ?

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25