A car is travelling at 60 km/hr left Dehradun at 3 pm . One hour later , another car travelling at 80 km/hr started over the same road to over take the first. How long must the second car travel to over take the first car ? PLS ANSWER THIS QUESTION FAST ....
Answers
▶ Answer:-
→ 3 hours and 240 km .
▶ Step-by-step explanation:-
→ Let the time taken by second car overtake to the first car be x hours after it started.
→ Total time taken by first car = (x + 1) hours.
→ Total distance covered by first car in (x + 1) hours = 60(x + 1) km .
→ Distance covered by second car in x hours = 80x .
Thus, Distance coved by first car is equal to second car .
∴ 60(x + 1) = 80x .
⇒ 60x + 60 = 80x .
⇒ 60 = 80x - 60x .
⇒ 60 = 20x .
⇒ = x
∴ x = 3 .
Hence, the second car travelled in 3 hours to overtake the 1st car .
→ Therefore, time taken by second car to overtake the first car = 80x = 80 × 3 = 240 km.
✔✔ Hence, it is solved ✅✅.
Hope you Found it Helpful
▶ Answer:-
→ 3 hours and 240 km .
▶ Step-by-step explanation:-
→ Let the time taken by second car overtake to the first car be x hours after it started.
→ Total time taken by first car = (x + 1) hours.
→ Total distance covered by first car in (x + 1) hours = 60(x + 1) km .
→ Distance covered by second car in x hours = 80x .
Thus, Distance coved by first car is equal to second car .
∴ 60(x + 1) = 80x .
⇒ 60x + 60 = 80x .
⇒ 60 = 80x - 60x .
⇒ 60 = 20x .
⇒ \bf{\dfrac{60}{20}}
20
60
= x
∴ x = 3 .
Hence, the second car travelled in 3 hours to overtake the 1st car .
→ Therefore, time taken by second car to overtake the first car = 80x = 80 × 3 = 240 km.
✔✔ Hence, it is solved ✅✅.