Travel Time Speed
1. The problem is to find the time taken to travel the same distance at a different speed.
2. Given: original travel time $t_1 = 5$ hours, original speed $v_1 = 56$ km/hr.
3. First, calculate the distance traveled using the original speed and time:
$$ d = v_1 \times t_1 = 56 \times 5 = 280 \text{ km} $$
4. Now, calculate the new time $t_2$ it takes to travel the same distance at the new speed $v_2 = 24$ km/hr using:
$$ t_2 = \frac{d}{v_2} = \frac{280}{24} = \frac{35}{3} \approx 11.67 \text{ hours} $$
5. Therefore, it will take approximately 11.67 hours (or 11 hours and 40 minutes) to travel the same distance at 24 km/hr.