80.4k views
1 vote
After travelling 2/5 of a Journey

a driver found that he had
60km
more to go
find the length
of the whole Journey?​

2 Answers

4 votes

Final answer:

The length of the whole journey is 100 km, found by setting up a proportion where 3/5 of the journey is equivalent to the 60 km remaining and solving for the total length.

Step-by-step explanation:

To find the length of the whole journey, we need to consider that the driver has already traveled 2/5 of the total and has 60 km more to go. Since 2/5 of the journey is already completed, the remaining 3/5 is equivalent to 60 km. To find the full length, we can set up a proportion where 3/5 of the journey is to 60 km as 5/5 (the whole journey) is to the total journey length (T).

The proportion would be 3/5 of T = 60 km. To find T, we would multiply both sides by 5/3 to get T alone on one side of the equation. This gives us T = (60 km) × (5/3).

Calculating this, we get T = 100 km. Hence, the total length of the journey is 100 kilometers.

User Frauke
by
5.7k points
6 votes

Answer:

= 100 km

Step-by-step explanation:

Total length = 5/5

Covered length = 2/5

Remaining length = 5/5 - 2/5 = 3/5

If 3/5 = 60 km

What about 5/5 = ?

= 5/5 x 60 x 5/3 (reciprical)

= 60 x 5/3

= 300/3

= 100 km

Covered distance = 100 - 60 = 40 km

User Adam McArthur
by
6.6k points