J drove from bright town to Happy town at a speed of 64km/h. Two hours later H stated driving from Happy town to Bright town at a speed of 96km/h. When J reached Happy towm H was still 32km/h away from bright town. What was the distance from the towns?
Let D be the distance between towns.
J reaches Happytown D/64 hours after starting. At that time, H has travelled for D/64 - 2 hours, and covered a distance 96*[(D/64)-2] km
Here is what you know:
96*[(D/64) -2] + 32 = D
3D/2 + 32 -192 = D
D/2 = 160
D = 320 km
J drove for 320/64 = 5 hours
H had driven for 3 hours when J arrived, covering 288 km, leaving 32 to go.
Pls.........可惜不是你。。。陪我到最后。。
To solve this problem, we can start by setting up a table to organize the information we have:
Time (hours) | Distance from Bright Town (km)
------------------------------------------
t (J) | 64t
t - 2 (H) | 96(t - 2)
The first row represents the time it takes for J to reach Happy Town, and the second row represents the time it takes for H to reach Bright Town (H started 2 hours later than J).
We know that when J reached Happy Town, H was still 32 km away from Bright Town. This means that the distance from Bright Town for H at that time was equal to the distance traveled by J plus 32 km. So we can set up an equation:
64t + 32 = 96(t - 2)
Let's solve this equation to find the value of t:
64t + 32 = 96t - 192
32 = 32t - 192
32t = 224
t = 7
Now that we have the value of t, we can calculate the distance between the towns. The distance from Bright Town to Happy Town is given by 64t:
Distance = 64 * 7 = 448 km
Therefore, the distance between the towns is 448 km.