Question

12. The distance between two towns is 300 km. Two cars start simultaneously from
these towns and move towards each other. The speed of one car is more than the
other by 7 km/hr. If the distance between the cars after 2 hours is 34 km, find the
speed of the cars.
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Answer 1

ʜᴇʏᴀ ᴍᴀᴛᴇ,

sᴇᴇ...ʙᴇʟᴏᴡ ⬇️⬇️

ʟᴇᴛ ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ᴛʜᴇ ғɪʀsᴛ ᴄᴀʀ ʙᴇ x

ᴛʜᴇɴ sᴘᴇᴇᴅ ᴏғ ᴛʜᴇ ᴏᴛʜᴇʀs ᴄᴀʀ (x+7)

ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ ʙʏ 1sᴛ ᴄᴀʀ ᴀғᴛᴇʀ 2 ʜᴏᴜʀs=2x

ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ ʙʏ 2ɴᴅ ᴄᴀʀ=2(x+7)

ɴᴏᴡ,

2x+2x+14+34=300

4x+14+34=300

4x+48=300

4x=300-48

4x=252

x=252/4

x=63

ᴛʜᴇʀᴇғᴏʀᴇ,ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ ʙʏ 1sʀ ᴄᴀʀ ɪs 64 ᴋᴍ/ʜʀ.

ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ ʙʏ 2ɴᴅ ᴄᴀʀ = 63+7

=70 ᴋᴍ/ʜʀ

Answer 2

Step-by-step explanation:

distance between two towns = 300 km.............