Question

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Answer 1

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 .

⇒ 3 = 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 ✅✅.

Answer 2

Answer:

240 km.

Step-by-step explanation:

Let second car taken x hours to overtake 1st car after it started.

One hour later another car travelled. It means,

First car travelled for (x + 1) hours.

It is said same point and on the same road. It means distance covered by both the cars is same.

Now, coming to the point.

1st car travelling at 60 km/hour.So,

Distance covered by 1st car in (x + 1) hours = 60(x + 1) km.

[Distance = Speed * Time]

2nd car travelling at 80 km/hour.

Distance covered by 2nd car in x hours = 80 * x km.

[Distance = Speed * Time]

Now, we have to solve x value to know how much time it has taken.

=> 60(x + 1) = 80 * x

=> 60x + 60 = 80x

=> -20x = -60

=> x = 3.

Hence, Second car traveled for 3 hours.

Distance traveled by second car = 80x = 240 km.

#Hope my answer helped you.