Mr. R covered a total distance of 180 km in 10 hours. He traveled the first part of his journey by car at a speed of 25 km/h and the remaining part by rickshaw at a speed of 15 km/h. The explanation concludes that the ratio of distances covered by the rickshaw and the car is 7:5. To derive this result, we first calculate the average speed over the entire journey, which is \( \frac{180 \text{ km}}{10 \text{ hrs}} = 18 \text{ km/h} \). Using the speeds and the average speed, we can establish a ratio for the time spent traveling by each mode of transport. Given the speeds: - Car speed = 25 km/h - Rickshaw speed = 15 km/h - Average speed = 18 km/h The ratio of speeds can be expressed as: \[ \text{Time ratio} = \frac{15}{25} = \frac{3}{5} \] By inverting the ratio of the time, we derive the distance ratio as: \[ \text{Distance ratio of Rickshaw:Car} = \frac{15 \times 7}{25 \times 3} = \frac{7}{5} \] Thus, the ratio of the distances covered by the rickshaw and car is confirmed to be 7:5【4:3†source】.