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1. Two stations A and B are 660 km apart. A train T1, which stops for 7 minutes at every town-station and for 3 minutes at every village-station, started from A with a speed of 40 km/hr towards B and at the same time a train T2 with a speed of 60 km/hr, which does not stop at any intermediate station, started from B towards A. They cross each other at C which is 420 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then at least how many stations – town or village – are there between A and C? Assume that T1 stops only at town or village-stations.
2.
R was asked to multiply a two-digit number P by a three-digit number Q. But she mistakenly multiplied P by the number formed by
writing the digits of Q in the reverse order, thereby getting an answer which is 22770 more than the correct answer.
(i)If R had reversed the digits of both the numbers P and Q, she would have got an answer 12816 more than her earlier answer. Find the correct product of P and Q.
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