The winning relay team in a high school sports competition clocked $48 \mathrm{minutes}$ for a distance of $13.2 \mathrm{km}$. Its runners$\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$maintained speeds of $15 \mathrm{kmph}, 16, 17 \mathrm{kmph} \mathrm{and} 18 \mathrm{kmph}$respectively. What is the ratio of the time taken by $\mathrm{B}$to that taken by $\mathrm{D}$?

Helitabh And Ruk Ruk are running along a circular course of radius $14 \mathrm{km}$14 km in opposite directions such that when they meet they reverse their directions as well as they interchange their speeds i.e. after they meet Helitahh will run at the speed of Ruk Ruk and vice-versa. However, this interchange occurs only when they meet outside the starting point. They do not interchange directions or speeds when they meet at the starting point. Initially, the speed of Helitabh is thrice the speed of Ruk Ruk. Assume that they start from $\mathrm{Mo}$, and they first meet at ${\mathrm{M}}_1$, then at $\mathrm{M}2$ $\mathrm{M}3$ and finally at $\mathrm{M}4$.

Helitabh And Ruk Ruk are running along a circular course of radius $14 \mathrm{km}$14 km in opposite directions such that when they meet they reverse their directions as well as they interchange their speeds i.e. after they meet Helitahh will run at the speed of Ruk Ruk and vice-versa. However, this interchange occurs only when they meet outside the starting point. They do not interchange directions or speeds when they meet at the starting point. Initially, the speed of Helitabh is thrice the speed of Ruk Ruk. Assume that they start from $\mathrm{Mo}$, and they first meet at ${\mathrm{M}}_1$, then at $\mathrm{M}2$ $\mathrm{M}3$ and finally at $\mathrm{M}4$.

What is the shortest distance between $\mathrm{M}1$and $\mathrm{M}2$along the course?

Helitabh And Ruk Ruk are running along a circular course of radius $14 \mathrm{km}$14 km in opposite directions such that when they meet they reverse their directions as well as they interchange their speeds i.e. after they meet Helitahh will run at the speed of Ruk Ruk and vice-versa. However, this interchange occurs only when they meet outside the starting point. They do not interchange directions or speeds when they meet at the starting point. Initially, the speed of Helitabh is thrice the speed of Ruk Ruk. Assume that they start from $\mathrm{Mo}$, and they first meet at ${\mathrm{M}}_1$, then at $\mathrm{M}2$ $\mathrm{M}3$ and finally at $\mathrm{M}4$.

Which is the point that coincides with $\mathrm{Mo}$,?

Helitabh And Ruk Ruk are running along a circular course of radius $14 \mathrm{km}$14 km in opposite directions such that when they meet they reverse their directions as well as they interchange their speeds i.e. after they meet Helitahh will run at the speed of Ruk Ruk and vice-versa. However, this interchange occurs only when they meet outside the starting point. They do not interchange directions or speeds when they meet at the starting point. Initially, the speed of Helitabh is thrice the speed of Ruk Ruk. Assume that they start from $\mathrm{Mo}$, and they first meet at ${\mathrm{M}}_1$, then at $\mathrm{M}2$ $\mathrm{M}3$ and finally at $\mathrm{M}4$.

What is the distance travelled by Helitabh when they Meet at $\mathrm{M}3$?

A certain race is made up of three stretches $\mathrm{A}, \mathrm{B} \mathrm{and} \mathrm{C}$, each $4 \mathrm{km}$ long, and to be covered by a certain mode of transport. The following table gives these modes of transport for the stretches, and the minimum and maximum possible speeds ($\mathrm{in} \mathrm{kmph}$kmph) over these stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is ten minutes.

A certain race is made up of three stretches $\mathrm{A}, \mathrm{B} \mathrm{and} \mathrm{C}$, each $4 \mathrm{km}$ long, and to be covered by a certain mode of transport. The following table gives these modes of transport for the stretches, and the minimum and maximum possible speeds ($\mathrm{in} \mathrm{kmph}$kmph) over these stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is ten minutes.