if a cyclist moves at 24 km h he reaches his destination 5 minutes later if he had pedal at 30 kph he reaches his destination 4 minutes soon how far his destination is
To determine the distance to the cyclist's destination, we need to first convert the given speed values from kilometers per hour (km/h) to kilometers per minute (km/min).
Given:
Speed1 = 24 km/h
Time1 = T1 + 5 minutes
To convert km/h to km/min, we divide the speed by 60 (since there are 60 minutes in an hour):
Speed_km_min1 = 24 km/h / 60 = 0.4 km/min
Now, let's determine the time it takes for the cyclist to reach the destination at 0.4 km/min.
Time1 in minutes = T1 + 5 minutes
Given:
Speed2 = 30 km/h
Time2 = T2 - 4 minutes
To convert km/h to km/min, we divide the speed by 60:
Speed_km_min2 = 30 km/h / 60 = 0.5 km/min
Now, let's determine the time it takes for the cyclist to reach the destination at 0.5 km/min.
Time2 in minutes = T2 - 4 minutes
Since the distance to the destination remains the same in both cases, we can equate the distances:
Distance = Distance
Distance1 = Speed_km_min1 * Time1
Distance2 = Speed_km_min2 * Time2
Since both distances are the same, we can set them equal to each other:
Speed_km_min1 * Time1 = Speed_km_min2 * Time2
Substituting the given values:
0.4 km/min * (T1 + 5 minutes) = 0.5 km/min * (T2 - 4 minutes)
Now, we can solve for T1 and T2, which represent the times taken by the cyclist in minutes.
0.4T1 + 2 = 0.5T2 - 2
0.4T1 - 0.5T2 = -4
To continue solving for T1 and T2, we need more information or equations.