Question

some part of a journey of 730 km was completed by a car in 60 km/hr. Then speed of car is reduced by 10 km/hr and the journey is completed. If it takes 13 hours to complete a journey, then find the time taken and the distance covered with reduced speed. ​

Answer 1

Answer:

Time taken: 5

Distance: 250 km

Step-by-step explanation:

Assume t is the time taken by car at 60 km/h and k is the time taken by car at 50 km/h. Then:

$\left \{ {{t + k = 13} \atop {60t + 50k = 730}} \right.$

=> $\left \{ {{t = 13 - k} \atop {60(13-k) + 50k = 730}} \right.$

=> $\left \{ {{t=13 - k} \atop {k=5}} \right.$

=> $\left \{ {{t=8} \atop {k=5}} \right.$