Two cyclists cover the same distance in 15 km/hr and 16 km/hr respecti

1.	Two cyclists cover the same distance in 15 km/hr and 16 km/hr respectively. Findthe distance travelled by each, if one takes 16 min longer than the other does?
Answer» Answer: 7..1km Step-by-step explanation: Let's GIVE names to the two cyclists. Let's call the first cyclists to be 'A' and second to be 'B'. Cyclists 'A' is traveling at a speed of 16 km/hr. Now ,assuming that the DISTANCE covered by A and B is X km. We need to find time , because we don't know that. But we know the formula of time , that is : $\sf \boxed{\sf \implies \: time = \dfrac{distance}{speed} }$ → Assuming distance covered by A and B = x $\sf time \: taken \: by \: A \: with \: respect \: to \: 1km \: = \frac{1km}{15}$ $\sf \implies \: 4 \: minutes$ and $\sf \: time \: taken \: by \: B \: with \: respect \: to \: 1km = \frac{1km}{16}$ $\sf \implies \: 3.75 \: minutes$ TOTAL time taken by A and B respectively = 6x and 3.75x Now, $\sf \: 6x - 3.75x = 2.25x$ ACCORDING to the question : $\sf \: 2.25x = 16minutes$ $\implies \sf \: x = \frac{16}{2.25}$ $\sf \implies \: x = 7.1$ Total distance covered by A and B = 7.1 km What you need to know ? Speed = Distance /time