Mark leaves the house for school walking at the rate of 4 kph. Two hours later Joyce follows Mark at 4.5 kph. How long will it take Joyce to overtake Mark? Solution Mark\'s rate is 4 kph Mark\'s time time is t+2 Joyce\'s rate is 4.5kph Joyce\'s time is t when Joyce overtakes Mark, they will be at the same distance, so we can use the formula rate * time = distance and set their distance = to one another: 4(t+2)=4.5t 4t+8=4.5t 8=.5t 16=t this makes sense because in 16 hours time, Joyce will has walked 4.5*16 = 72km and in 18 hours time (he started two hours before her) Mark has walked 4*18=72km.