Kiran and clare live 24 mile away from each other along a rail trail. One Saturday the two friends started walking toward each other along a trail at 8:00 am with a plan to have a picnic when they meet. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me, it's the same as if you stay put and I jog 6.4 miles per hour."

Complete question :

Kiran and clare live 24 mile away from each other along a rail trail. One Saturday the two friends started walking toward each other along a trail at 8:00 am with a plan to have a picnic when they meet. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me, it's the same as if you stay put and I jog 6.4 miles per hour."What do you think Kiran means by this, Is he correct?

Kindly check explanation

Step-by-step explanation:

A walks 3 miles per hour

B walks 3.4 miles per hour

Total distance = 24 miles

Average speed of both A and B = (3 + 3.4) = 6.4 miles

Time = distance / speed

If A jogs at 6.4 miles per hour while B stays put

Time = 24 miles / 6.4 miles per hour

Time = 3.75 hours = 3 hours 45 minutes

In terms of when both A and B will meet ; they'll both meet after 3 hours 45 minutes either they walk towards each other at 3mph and 3.4mph respectively or one takes their combined speed to jog towards the other who is staying put.

However, the meeting point will be different and distance covered by each person won't be the same.

As for the time taken to cover 24 miles, it will be 3 hours 45 minutes in both cases.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47