P, Q and R run on the tracks made in the shape of a star, pentagon and circle, respectively. The radius of the circle is ‘r’ and side of the pentagon = 2a and OX = 2OL = 2b. O is the centre of the figure.
1. Find distance traveled by ‘P’.
a. 5(r² + 3a²)½
b. 10(r² + 3a²/2)½
c. 10(r² + 2a²)½
d. 10(r² + 3a²/4)2
2. If a + b = r 10 km and P travels at a speed of 10 km/hr. Find time taken by P to complete one round.
a. 6.52 hours.
b. 8.5 hours
c. 8 hours
d. 7.21 hours
3. What is the ratio of the time taken by R to complete one round to the time taken by Q to complete one round around their respectively tracks if the speed of Q is two thirde that of R? (Use data from the previous questions)