## Realated Questions

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs 18 min 15 seconds of watch time. What is the time gained or lost by this watch in one day?

Mona and Sona start simultaneously from two towns, P and Q, towards Q and P respectively at 8:00 a.m. R is a checkpost which is midway between P and Q. Both Mona and Sona turn back towards their respective starting points whenever they reach R and every time they reach their starting points they turn back and return to R. If the speeds of Mona and Sona are 45 km/hr and 60 km/hr respectively and PQ = 24 km, when will they reach R at the same time?

A and B run a 10 km race. In the first heat, A gives B a head start of 500 mts and beats him by 50 seconds. In the second heat,A gives B a head start of 80 seconds and is beaten by 1000 mts. What is the ratio of the speeds of A and B?