Question

Rijul covers a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h and the rest at 5 km/h. The total distance traveled by Rijul is?
( options a) 5km b) 6km c) 7km d)8km )

Answer 1

$\pink{\huge{\underline{\underline{⠀⠀❥Answer⠀⠀❥}}}}$

Total distance = Y

Time to cover (2/3 x Y) = T1

Time to cover (1/3 x Y) = T2

T1 + T2 = 1h 24min = 1.4 h

or T1 = 1.4 - T2 ————————————-"1"

Distance = Speed x Time

(2/3 x Y) = 4 x T1 ———————————-"2"

(1/3 x Y) = 5 x T2 ———————————-"3"

From "3": Y = 15 x T2

Substitute in "2":

(2/3 x 15 x T2) = 4 x T1

or T1 = 2.5 x T2

From "1": 1.4 - T2 = 2.5 x T2

Thus 1.4 = (2.5 x T2) + T2 = 3.5 x T2

Thus T2 = 1.4/3.5 = 0.4 h (24 min)

From "3": 1/3 x Y = 5 x T2 = 5 x 0.4 = 2

Thus Y = 3 x 2 = 6 km.

.

.

.

.

.

.

.

❥︎爪ㄚ 几卂爪乇 |丂 ㄒㄖㄖ 尺|ﾌㄩㄥ♡︎

Answer 2

Answer:

et's imagine that the total distance is x kilometer.

Rijul covers two thirds of the distance at 4 km/per hour and the rest at 5 km/per hour.

Rijul can cover a certain distance in 1 hr. and 24 mins.1 hour 24 minutes (24/60 hours) can be written as 1.40 hoursAccording to statement(2x / 3) / 4 + (x / 3) / 5 = 1.40 hours2x / 12 + x / 15 = 1.40 hoursx / 6 + x / 15 = 1.40 hours7x / 30 = 1.40Cross multiplication7x = 30 × 1.407x = 42x = 42 / 7x = 6 kilometersThe total distance is 6 kilometers

please mark me branlist I want 1 branlist