Question

Ahmad jogged a distance of 3200 m on Saturday and a distance of 1.8 km on Sunday.

(a) Express the distance he jogged on Saturday as a percentage of the total distance jogged on both days.
(b) Find the percentage decrease in the distance he jogged from Saturday to
Sunday.

Answer 1

a) 4,000 meters

b) - 56.25% (or -56% with 2 sig figs

Explanation:

Calculate the total distance Ahmad jogged on both days. This will require a conversion unit to make the distances the same units.

Sat.: 3200 m

Sun: 1.8 km

(1,000m/km)

(1.8km)*(1,000 m/km) = 1,800 m jogged on Sunday

Total distance jogged = 3,200 m + 1,800 m = 4,000 meters total jogged

a) Percentage jogged on Saturday:

(3,200 m)/(4,000 m) = 0.80 or 80%

b) Percentage Decrease (From Saturday to Sunday):

Sat: 3200 m

Sun: 1800 m

Difference = 1400 m (decrease)

Percentage Decrease = (1800/3200) = 56.25%

Ahmad's distance on Sunday was a 56.25% decrease from Saturday.